852916441 has 24 divisors (see below), whose sum is σ = 979601280. Its totient is φ = 736169472.

The previous prime is 852916409. The next prime is 852916453. The reversal of 852916441 is 144619258.

It is not a de Polignac number, because 852916441 - 2⁵ = 852916409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 852916394 and 852916403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852916541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2323840 + ... + 2324206.

It is an arithmetic number, because the mean of its divisors is an integer number (40816720).

Almost surely, 2^852916441 is an apocalyptic number.

It is an amenable number.

852916441 is a deficient number, since it is larger than the sum of its proper divisors (126684839).

852916441 is a wasteful number, since it uses less digits than its factorization.

852916441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 496 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 852916441 is about 29204.7331951518. The cubic root of 852916441 is about 948.3503933751.

The spelling of 852916441 in words is "eight hundred fifty-two million, nine hundred sixteen thousand, four hundred forty-one".